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How will the use of the properties of real numbers help in maintaining peace & harmony in the real world?

Answers

Commutative propertiesThe commutative property of addition says that we can add numbers in any order. The commutative property of multiplication is very similar. It says that we can multiply numbers in any order we want without changing the result.

addition 5a + 4 = 4 + 5a

multiplication3 x 8 x 5b = 5b x 3 x 8

Associative propertiesBoth addition and multiplication can actually be done with two numbers at a time. So if there are more numbers in the expression, how do we decide which two to "associate" first? The associative property of addition tells us that we can group numbers in a sum in any way we want and still get the same answer. The associative property of multiplication tells us that we can group numbers in a product in any way we want and still get the same answer.

addition (4x + 2x) + 7x = 4x + (2x + 7x)

multiplication 2x2(3y) = 3y(2x2)

Distributive propertyThe distributive property comes into play when an expression involves both addition and multiplication. A longer name for it is, "the distributive property of multiplication over addition." It tells us that if a term is multiplied by terms in parenthesis, we need to "distribute" the multiplication over all the terms inside.

2x(5 + y) = 10x + 2xy

Even though order of operations says that you must add the terms inside the parenthesis first, the distributive property allows you to simplify the expression by multiplying every term inside the parenthesis by the multiplier. This simplifies the expression.

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Numbers whether real or complex are used to create sophisticated pieces of technology in the form of medical equipment, vehicles, aeroplanes, satellites, trains, mobile phones and a lot of the things that make our lives better.

These forms of technology have made us happier. We can now travel around the globe, speak to our friends in distant countries, drive safer cars and navigate our way through towns and cities at ease.

If we continue to educate the world about the importance of numbers (real or complex), then maybe some of those that we educate (especially from disadvantaged backgrounds) will soon be able to enhance their societies. Numbers can help humans reason, think critically and create humanistic laws formed through an understanding of nature - not superstitions, beliefs and discriminatory lenses.